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Finding the Fourth Proportional to 413.67, 620.60 and 197.49

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Solution

The fourth proportional to 413.67, 620.60 and 197.49 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 620.60 = 197.49 : x
  2. Step 2: Convert to fraction form
    413.67/620.60 = 197.49/x
  3. Step 3: Cross multiply
    413.67x = 620.60 × 197.49
  4. Step 4: Simplify right side
    413.67x = 122,562.29
  5. Step 5: Solve for x
    x = 122,562.29/413.67
  6. Step 6: Final answer
    x = 296.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.